Bounded $l$-index and $l$-$M$-index and compositions of analytic functions
نویسندگان
چکیده
منابع مشابه
Entire Functions of Bounded Index
Since this series is absolutely convergent everywhere in the plane, the terms \an\ must approach 0. Consequently, there exists for each a, an index n0 = n(a) ior which \an\ is a maximal coefficient. B. Lepson [2] raised the problem of characterizing entire functions for which n(a) is bounded. The latter are called functions of bounded index. In what follows, we shall give a partial solution to ...
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We consider the problem of approximation of matrix functions of class L on the unit circle by matrix functions analytic in the unit disk in the norm of L, 2 ≤ p < ∞. For an m × n matrix function Φ in L, we consider the Hankel operator HΦ : H(C) → H −(C), 1/p + 1/q = 1/2. It turns out that the space of m × n matrix functions in L splits into two subclasses: the set of respectable matrix function...
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ژورنال
عنوان ژورنال: Matematychni Studii
سال: 2017
ISSN: 1027-4634
DOI: 10.15330/ms.48.2.180-188